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CBSE Class 12-science Answered

Differentiate space straight y equals square root of fraction numerator straight x squared plus 2 over denominator straight x squared plus 3 end fraction end root 
Asked by Topperlearning User | 01 Aug, 2014, 01:27: PM
answered-by-expert Expert Answer

Taking space log space on space both space sides log space straight y equals 1 half open square brackets log open parentheses straight x squared plus 2 close parentheses minus log space open parentheses straight x squared plus 3 close parentheses close square brackets Differentiating space straight w. straight r. straight t. space straight x space 1 over straight y dy over dx equals square root of fraction numerator straight x squared plus 2 over denominator straight x squared plus 3 end fraction end root open square brackets fraction numerator straight x cubed plus 3 straight x minus straight x cubed minus 2 straight x over denominator left parenthesis straight x squared plus 2 right parenthesis left parenthesis straight x squared plus 3 right parenthesis end fraction close square brackets space space space space space space dy over dx equals open parentheses fraction numerator left parenthesis straight x squared plus 2 right parenthesis over denominator left parenthesis straight x squared plus 3 right parenthesis end fraction close parentheses fraction numerator straight x over denominator left parenthesis straight x squared plus 2 right parenthesis left parenthesis straight x squared plus 3 right parenthesis end fraction therefore dy over dx equals fraction numerator x over denominator left parenthesis straight x squared plus 3 right parenthesis squared end fraction


Answered by | 01 Aug, 2014, 03:27: PM

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